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Finding the Fourth Proportional to 133.91, 200.43 and 72.05

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Solution

The fourth proportional to 133.91, 200.43 and 72.05 is: 107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.91 : 200.43 = 72.05 : x
  2. Step 2: Convert to fraction form
    133.91/200.43 = 72.05/x
  3. Step 3: Cross multiply
    133.91x = 200.43 × 72.05
  4. Step 4: Simplify right side
    133.91x = 14,440.62
  5. Step 5: Solve for x
    x = 14,440.62/133.91
  6. Step 6: Final answer
    x = 107.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.